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Finding the Fourth Proportional to 315,076.86, 434,788.74 and 179,091.90

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Solution

The fourth proportional to 315,076.86, 434,788.74 and 179,091.90 is: 247,136.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,076.86 : 434,788.74 = 179,091.90 : x
  2. Step 2: Convert to fraction form
    315,076.86/434,788.74 = 179,091.90/x
  3. Step 3: Cross multiply
    315,076.86x = 434,788.74 × 179,091.90
  4. Step 4: Simplify right side
    315,076.86x = 77,867,141,545.21
  5. Step 5: Solve for x
    x = 77,867,141,545.21/315,076.86
  6. Step 6: Final answer
    x = 247,136.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.